Finding the Third Proportional to 10,566 and 19,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 19,782 = 19,782 : x
2. Step 2: Convert to fraction form
   10,566/19,782 = 19,782/x
3. Step 3: Cross multiply
   10,566x = 19,782 × 19,782
4. Step 4: Simplify right side
   10,566x = 391,327,524
5. Step 5: Solve for x
   x = 391,327,524/10,566
6. Step 6: Final answer
   x = 37,036.49